What is the answer to (x+7)^{0.5}=2x-6 ?

The answer to (x+7)^{0.5}=2x-6 is x=(25+161^{1/2})/8

Solve for x: (x+7)^{0.5}=2x-6

The solution is x=(25+161^{1/2})/8

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(x + 7)^{0.5} = 2 x - 6

x = \frac{25 + 16 1 ^{\frac{1}{2}}}{8}

Decimal Notation

x = 4.71107 \dots

Solution steps

(x + 7)^{0.5} = 2 x - 6

Square both sides:

x + 7 = 4 x^{2} - 24 x + 36

x + 7 = 4 x^{2} - 24 x + 36

Solve

x + 7 = 4 x^{2} - 24 x + 36 : x = \frac{25 + 16 1 ^{\frac{1}{2}}}{8}, x = \frac{25 - 16 1 ^{\frac{1}{2}}}{8}

x = \frac{25 + 16 1 ^{\frac{1}{2}}}{8}, x = \frac{25 - 16 1 ^{\frac{1}{2}}}{8}

Verify Solutions:

x = \frac{25 + 16 1 ^{\frac{1}{2}}}{8}

True

, x = \frac{25 - 16 1 ^{\frac{1}{2}}}{8}

False

The solution is

x = \frac{25 + 16 1 ^{\frac{1}{2}}}{8}

2 X = 4 X^{2} - 5 X + 50

3 x + 1 + x - 1 = 6

3 = x^{2}

(2 x + 3)^{\frac{3}{2}} + 3 = 30

What is the answer to (x+7)^{0.5}=2x-6 ?
The answer to (x+7)^{0.5}=2x-6 is x=(25+161^{1/2})/8
Solve for x: (x+7)^{0.5}=2x-6
The solution is x=(25+161^{1/2})/8